I am trying to get into more woodworking projects, but I'm not sure what saw I should use with my very limited experience. I want something versatile, to be able to cut pallets, or regular wood, maybe do some carvings with stencils. Is there something out there that can work in all sorts of ways like that? I don't want to spend thousands, and prefer just to spend a couple hundred. Any ideas???
The versatility of almost any tool is wholly a function of the user's skill set. The tasks you describe, however, are so widely varying as to present a single-tool problem.
Rather than one do-all tool, set yourself up with a few quality tools. From your description I'd start with a circular saw (I like Makita) and a jigsaw (avoid gimmicks like laser guides, though LED lighting can be nice). Both can be had for about $125. That leaves you with enough for a specialty tool, like maybe a Dremel (the very definition of versatile) or a proper scroll saw for crafting.
Correction: The Makita goes for about $170 by itself, so my plan may not be ideal unless your budget is closer to $300.